Details

analyze141.0ms

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify161.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	113	9
3	277	5
4	705	5
5	1571	5
6	4493	5
7	5002	5

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 7.8b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3 (* x.im (* x.re x.re)))
8.4b	(* x.im (* x.re x.re))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

7.0ms	(* 3 (* x.im (* x.re x.re)))
6.0ms	(* x.im (* x.re x.re))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* 3 (* x.im (* x.re x.re)))
7.0ms	(* x.im (* x.re x.re))

simplify83.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	152	183
1	589	147
2	2908	147
3	5003	147

prune65.0ms

Filtered

26 candidates to 46 candidates (-76.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x.im x.re) x.re)
0.2b	(* 3 (* (* x.im x.re) x.re))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* x.im x.re) x.re))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* x.im x.re) x.re)
8.0ms	(* 3 (* (* x.im x.re) x.re))

simplify31.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	165	181
1	857	145
2	5001	145

prune56.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
0.1b	(* (* x.im x.re) x.re)
0.2b	(* (cbrt 3) (* (* x.im x.re) x.re))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
8×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
3×	`cbrt-prod` `*-commutative` `add-log-exp`

Counts

3 → 76

Calls

3 calls:

14.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
5.0ms	(* (* x.im x.re) x.re)
8.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

series30.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
7.0ms	(* (* x.im x.re) x.re)
10.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	281	596
1	1445	422
2	5001	369

prune101.0ms

Filtered

38 candidates to 85 candidates (-123.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 x.re) (* x.im x.re))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (* 3 x.re) (* x.im x.re))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* 3 x.re) (* x.im x.re))

simplify110.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	135	118
1	623	90
2	3914	90
3	5001	90

prune18.0ms

Filtered

10 candidates to 25 candidates (-150.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	25	5	30

Merged error: 0b

Counts

30 → 5

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

analyze144.0ms

Algorithm: search

sample545.0ms

Algorithm

intervals

Results

389.0ms	8000×	body	80	valid
25.0ms	535×	body	80	invalid

Details

analyze141.0ms

sample24.0ms

simplify161.0ms

prune9.0ms

localize7.0ms

rewrite14.0ms

series15.0ms

simplify83.0ms

prune65.0ms

localize9.0ms

rewrite13.0ms

series14.0ms

simplify31.0ms

prune56.0ms

localize11.0ms

rewrite30.0ms

series30.0ms

simplify52.0ms

prune101.0ms

localize7.0ms

rewrite7.0ms

series6.0ms

simplify110.0ms

prune18.0ms

regimes90.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze144.0ms

sample545.0ms

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